114050540330400 has 288 divisors, whose sum is σ = 393940831173120. Its totient is φ = 28598081121280.

The previous prime is 114050540330393. The next prime is 114050540330437. The reversal of 114050540330400 is 4033045050411.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14252802 + ... + 20766401.

It is an arithmetic number, because the mean of its divisors is an integer number (1367850108240).

Almost surely, 2^{114050540330400} is an apocalyptic number.

114050540330400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114050540330400 is an abundant number, since it is smaller than the sum of its proper divisors (279890290842720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114050540330400 is a wasteful number, since it uses less digits than its factorization.

114050540330400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35019308 (or 35019295 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 114050540330400 its reverse (4033045050411), we get a palindrome (118083585380811).

The spelling of 114050540330400 in words is "one hundred fourteen trillion, fifty billion, five hundred forty million, three hundred thirty thousand, four hundred".